By Arjen K. Lenstra, Eric R. Verheul (auth.), Mihir Bellare (eds.)
This publication constitutes the refereed court cases of the twentieth Annual overseas Cryptology convention, CRYPTO 2000, held in Santa Barbara, CA, united states in August 2000. The 32 revised complete papers provided including one invited contribution have been conscientiously reviewed and chosen from one hundred twenty submissions. The papers are equipped in topical sections on XTR and NTRU, privateness for databases, safe disbursed computation, algebraic cryptosystems, message authentication, electronic signatures, cryptanalysis, traitor tracing and broadcast encryption, symmetric encryption, to devote or to not dedicate, protocols, and movement ciphers and Boolean features.
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Extra resources for Advances in Cryptology — CRYPTO 2000: 20th Annual International Cryptology Conference Santa Barbara, California, USA, August 20–24, 2000 Proceedings
Thus for suitably large degrees, this attack is expected to fail and does fail in practice. Another idea, described by Coppersmith and M. ): CRYPTO 2000, LNCS 1880, pp. 20–35, 2000. c Springer-Verlag Berlin Heidelberg 2000 A Chosen-Ciphertext Attack against NTRU 21 Shamir in  would be to use LLL to ﬁnd some short vector in the lattice which could act as a decryption key, but the authors of NTRU claim that experimental evidence suggests that the existence of such spurious keys does not pose a security threat.
Count the minimal and maximal number of 1 and −1 in f . If this number is not consistent with the value of df , go back to step 3. 11. Merge with preceeding informations obtained on f . Eventually repeat with another P (step 3). Application. Here is an example of the attack with the following set of parameters: – – – – (N, p, q) = (503, 3, 256) nf = 216 ng = 72 K = 107 Those are the parameters proposed in  to oﬀer the highest security. 267. We want c ≡ 0 mod 3, 4c < 128, 5c > 128. We choose c = 27.
Coppersmith, personal communication, March 2000. 7. T. ElGamal, A Public Key Cryptosystem and a Signature scheme Based on Discrete Logarithms, IEEE Transactions on Information Theory 31(4), 1985, 469-472. 8. P. Gaudry, F. P. Smart, Constructive and destructive facets of Weil descent on elliptic curves, manuscript, January, 2000, submitted to Journal of Cryptology. 9. D. Gordon, Discrete logarithms in GF(p) using the number ﬁeld sieve, SIAM J. Discrete Math. 6 (1993), 312-323. 10. E. Knuth, The art of computer programming, Volume 2, Seminumerical Algorithms, second edition, Addison-Wesley, 1981.
Advances in Cryptology — CRYPTO 2000: 20th Annual International Cryptology Conference Santa Barbara, California, USA, August 20–24, 2000 Proceedings by Arjen K. Lenstra, Eric R. Verheul (auth.), Mihir Bellare (eds.)